数学学科Seminar第2397讲 关于一个与椭圆曲线相关的耦合KP系统

创建时间:  2023/06/07  龚惠英   浏览次数:   返回

报告题目 (Title):On a coupled Kadomtsev-Petviashvili system associated with an elliptic curve (关于一个与椭圆曲线相关的耦合KP系统)

报告人 (Speaker):傅蔚 副教授(华东师范大学)

报告时间 (Time):2023年06月06日 16:00-17:00

报告地点 (Place):校本部乐乎楼海纳厅

邀请人(Inviter):张大军 教授

主办部门:理学院数学系

报告摘要:

The coupled Kadomtsev-Petviashvili system associated with an elliptic curve, proposed by Date, Jimbo and Miwa [J. Phys. Soc. Jpn., 52:766-771, 1983], is reinvestigated within the direct linearisation framework, which provides us with more insights into the integrability of this elliptic model from the perspective of a general linear integral equation. As a result, we successfully construct for the elliptic coupled Kadomtsev-Petviashvili system not only a Lax pair composed of differential operators in $2\times2$ matrix form but also multi-soliton solutions with phases parametrised by points on the elliptic curve. Dimensional reductions based on the direct linearisation, to the elliptic coupled Korteweg-de Vries and Boussinesq systems, are also discussed. In addition, a novel class of solutions are obtained for the $D_\infty$-type Kadomtsev-Petviashvili equation with nonzero constant background as a byproduct.

上一条:物理学科Seminar第607讲 用于发光的金属卤化物钙钛矿载流子动力学调控研究

下一条:数学学科Seminar第2396讲 不可压缩流及其耦合问题深度学习方法研究


数学学科Seminar第2397讲 关于一个与椭圆曲线相关的耦合KP系统

创建时间:  2023/06/07  龚惠英   浏览次数:   返回

报告题目 (Title):On a coupled Kadomtsev-Petviashvili system associated with an elliptic curve (关于一个与椭圆曲线相关的耦合KP系统)

报告人 (Speaker):傅蔚 副教授(华东师范大学)

报告时间 (Time):2023年06月06日 16:00-17:00

报告地点 (Place):校本部乐乎楼海纳厅

邀请人(Inviter):张大军 教授

主办部门:理学院数学系

报告摘要:

The coupled Kadomtsev-Petviashvili system associated with an elliptic curve, proposed by Date, Jimbo and Miwa [J. Phys. Soc. Jpn., 52:766-771, 1983], is reinvestigated within the direct linearisation framework, which provides us with more insights into the integrability of this elliptic model from the perspective of a general linear integral equation. As a result, we successfully construct for the elliptic coupled Kadomtsev-Petviashvili system not only a Lax pair composed of differential operators in $2\times2$ matrix form but also multi-soliton solutions with phases parametrised by points on the elliptic curve. Dimensional reductions based on the direct linearisation, to the elliptic coupled Korteweg-de Vries and Boussinesq systems, are also discussed. In addition, a novel class of solutions are obtained for the $D_\infty$-type Kadomtsev-Petviashvili equation with nonzero constant background as a byproduct.

上一条:物理学科Seminar第607讲 用于发光的金属卤化物钙钛矿载流子动力学调控研究

下一条:数学学科Seminar第2396讲 不可压缩流及其耦合问题深度学习方法研究